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Finding the Third Proportional to 321,896 and 479,037

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Solution

The third proportional to 321,896 and 479,037 is: 712,890.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,896 : 479,037 = 479,037 : x
  2. Step 2: Convert to fraction form
    321,896/479,037 = 479,037/x
  3. Step 3: Cross multiply
    321,896x = 479,037 × 479,037
  4. Step 4: Simplify right side
    321,896x = 229,476,447,369
  5. Step 5: Solve for x
    x = 229,476,447,369/321,896
  6. Step 6: Final answer
    x = 712,890.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.